Properties

Label 4592.2.hp
Level $4592$
Weight $2$
Character orbit 4592.hp
Rep. character $\chi_{4592}(59,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $10688$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 4592 = 2^{4} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4592.hp (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4592 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4592, [\chi])\).

Total New Old
Modular forms 10816 10816 0
Cusp forms 10688 10688 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(4592, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.